An isolated system consists of a 1.5 kg mass moving in the presence of the following potential energy function: U open parenthes
es x close parentheses equals open parentheses 1 third straight J over straight m cubed close parentheses x cubed plus open parentheses 1 half straight J over straight m squared close parentheses x squared minus open parentheses 2 straight J over straight m close parentheses x What is the period (in s) of small amplitude oscillations of this system about its stable equilibrium point?
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Potential energy is given as
now as we know that force is related by potential energy by the formula
So it is gradient of energy with position in Y
Now at y = 0
at y = 1
at y = 2
so above is the forces at given positions